Paper Citation Record · LEDGER

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term

As of 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2507.00959.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.00959 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:15:09.534747Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T11:54:08.463769Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact1
verified fuzzy30
unresolved4
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8895c8e1-bad9-4746-a203-a7955ceb0615 · outbound

This paper cites Abdellaoui, A.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Abdellaoui, A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:36.837119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cb48db23-2fb7-47d4-ad8a-b33b8435d65d · outbound

This paper cites Nonlocal degenerate parabolic-hyperbolic equations on bounded domains.Annales de l’Institut Henri Poincaré C, 2025.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Nonlocal degenerate parabolic-hyperbolic equations on bounded domains.Annales de l’Institut Henri Poincaré C, 2025

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:36.805479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 124f09f8-a27c-4412-a620-ec94b74f9fe0 · outbound

This paper cites Global gradient regularity and a Hopf lemma for quasilinear operators of mixed local-nonlocal type.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Global gradient regularity and a Hopf lemma for quasilinear operators of mixed local-nonlocal type

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:36.758015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 34ee316c-a269-467b-b9fd-44818ba95272 · outbound

This paper cites Nonlinear differential equations of monotone types in Banach spaces.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Nonlinear differential equations of monotone types in Banach spaces

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:36.720839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5be3220d-2b81-4efb-8911-6301e2d072e1 · outbound

This paper cites A Brezis-Oswald approach for mixed local and nonlocal operators.Commun.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term A Brezis-Oswald approach for mixed local and nonlocal operators.Commun

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:36.637168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 127a9e3c-73cc-49a0-9464-9baaa58b0080 · outbound

This paper cites Global solutions to semilinear parabolic equations driven by mixed local-nonlocal operators.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Global solutions to semilinear parabolic equations driven by mixed local-nonlocal operators

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:12.095676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b3c46cf0-3b3c-4d13-8edc-243b3d383070 · outbound

This paper cites Functional analysis, Sobolev spaces and partial differential equations.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Functional analysis, Sobolev spaces and partial differential equations

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:12.046372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a44d1071-a398-4cd0-b40e-973c0a250454 · outbound

This paper cites An introduction to semilinear evolution equations, volume 13 of Oxford Lecture Series in Mathematics and its Applications.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term An introduction to semilinear evolution equations, volume 13 of Oxford Lecture Series in Mathematics and its Applications

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.916848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 24e69615-b982-414f-9fe5-ca9ccf74f573 · outbound

This paper cites A doubly nonlinear evolution problem involving the fractional p-Laplacian.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term A doubly nonlinear evolution problem involving the fractional p-Laplacian

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:15:09.673363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6018694e-83a8-44ad-a683-0e28178c8191 · outbound

This paper cites Existence and global behaviour of solutions of a parabolic problem involving the fractionalp-Laplacian in porous medium.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Existence and global behaviour of solutions of a parabolic problem involving the fractionalp-Laplacian in porous medium

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.824211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8e62786-9ab9-46a9-ada9-1f384ca2062e · outbound

This paper cites Gradient regularity in mixed local and nonlocal problems.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Gradient regularity in mixed local and nonlocal problems

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.696116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3220688f-3cf5-4bbb-9332-26287954af0e · outbound

This paper cites Hitchhiker’s guide to the fractional Sobolev spaces.Bull.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Hitchhiker’s guide to the fractional Sobolev spaces.Bull

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.661400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dedeb178-2a46-4027-b825-99c8dbbf637a · outbound

This paper cites Drapaca and S.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Drapaca and S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.559711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b3a7ec96-1ec2-4bf2-8b27-5d006b5b3fb8 · outbound

This paper cites Faraci, D.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Faraci, D

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.477315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cf8cdbc3-56ab-41f5-a27e-3a849f5502ae · outbound

This paper cites an unresolved cited work.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:15:11.377941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 312ea3a8-c682-4dd2-bdf6-317598424a41 · outbound

This paper cites Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.263548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ffa43859-f2cb-4a91-952c-547ce1f79c66 · outbound

This paper cites Existence and global behavior of weak solutions to a doubly nonlinear evolution fractionalp-Laplacian equation.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Existence and global behavior of weak solutions to a doubly nonlinear evolution fractionalp-Laplacian equation

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.190440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c0328322-6490-432f-887f-6a631929d5e3 · outbound

This paper cites Evolutionaryp-Laplacian with convection and reaction under dynamic boundary condition.Bound.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Evolutionaryp-Laplacian with convection and reaction under dynamic boundary condition.Bound

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.083264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation debd1481-0e5d-4f59-9bf4-d9439f07b830 · outbound

This paper cites Propagation profile of support for evolution p-Laplacian with convection in half space.J.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Propagation profile of support for evolution p-Laplacian with convection in half space.J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.044940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5afb0448-3c28-4f0d-8cb1-fe046094cd6f · outbound

This paper cites Existence for doubly nonlinear fractionalp-Laplacian equations.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Existence for doubly nonlinear fractionalp-Laplacian equations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.964107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 730ec751-028b-4510-8049-742a7fb61ed3 · outbound

This paper cites an unresolved cited work.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:15:10.866800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e183136b-9e83-4c7f-83fc-26a19a4ddf57 · outbound

This paper cites Mazón, Julio D.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Mazón, Julio D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.798293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 82c13be1-71fa-48b4-a92b-cdbee282f225 · outbound

This paper cites Radulescu, and Raffaella Servadei.Variational methods for nonlocal fractional problems, volume 162 ofEncyclopedia of Mathematics and its Applications.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Radulescu, and Raffaella Servadei.Variational methods for nonlocal fractional problems, volume 162 ofEncyclopedia of Mathematics and its Applications

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.736886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c75f8015-736d-466a-9fe5-3dc8f62971c6 · outbound

This paper cites Nonhomogeneous degenerate quasilinear problems with convection.Nonlinear Anal.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Nonhomogeneous degenerate quasilinear problems with convection.Nonlinear Anal

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.661947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ae005f15-4e32-4c1a-9029-3cb9d3f29a6a · outbound

This paper cites Global existence and gradient estimates for the quasilinear parabolic equations of m-Laplacian type with a nonlinear convection term.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Global existence and gradient estimates for the quasilinear parabolic equations of m-Laplacian type with a nonlinear convection term

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.602245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6a71f2eb-ff92-4649-bc6a-54d9d62d0f91 · outbound

This paper cites Nonlinear partial differential equations with applications, volume 153 of International Series of Numerical Mathematics.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Nonlinear partial differential equations with applications, volume 153 of International Series of Numerical Mathematics

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.527663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2ac966d7-4cc0-44d9-9ef2-7b93d4100746 · outbound

This paper cites Cauchy problem for doubly degenerate parabolic equation with gradient source.Nonlinear Anal., 113:323–338, 2015.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Cauchy problem for doubly degenerate parabolic equation with gradient source.Nonlinear Anal., 113:323–338, 2015

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.435751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 19345fe9-cef5-4811-8b24-53be5b7b2ea9 · outbound

This paper cites Reformulationofelasticitytheoryfordiscontinuitiesandlong-rangeforces,.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Reformulationofelasticitytheoryfordiscontinuitiesandlong-rangeforces,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.357730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad54c982-ed72-44ae-9153-4c0d3e4ead76 · outbound

This paper cites Régularité de la solution d’une équation non linéaire dansRN.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Régularité de la solution d’une équation non linéaire dansRN

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.284556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 12cad963-e6e1-46ea-a196-11a98e46eeb4 · outbound

This paper cites Compact sets in the spaceLp(0,T ;B).

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Compact sets in the spaceLp(0,T ;B)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.216645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 145ab61f-7b2d-4f76-9628-b49c3dcda1d9 · outbound

This paper cites On parabolic problems involving fractional p-Laplacian via topological degree.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term On parabolic problems involving fractional p-Laplacian via topological degree

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.117531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a247862e-a7b1-41ab-8f86-4728f9aaecc7 · outbound

This paper cites Solvability of doubly nonlinear parabolic equation withp-Laplacian.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Solvability of doubly nonlinear parabolic equation withp-Laplacian

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.035654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c7b9b5c6-0986-4f1d-bdf7-f3f47f42debe · outbound

This paper cites The Dirichlet problem for the fractionalp-Laplacian evolution equation.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term The Dirichlet problem for the fractionalp-Laplacian evolution equation

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:09.934629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5767ed6b-7f1a-4cc2-95de-36d380b1c331 · outbound

This paper cites an unresolved cited work.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:15:09.828076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 34450dba-d41e-4bcd-bfe8-6d7c60535990 · outbound

This paper cites Zimmermann.A Continuum Theory with Long-Range Forces for Solids.

Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term Zimmermann.A Continuum Theory with Long-Range Forces for Solids

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:09.756235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation ec89df15-5dd2-4529-a4fe-425c8c75f77f · inbound

Local Existence, Uniqueness, Regularity, and Global Behavior of Evolution Equations Involving Mixed Local and Nonlocal Operators cites this paper.

Local Existence, Uniqueness, Regularity, and Global Behavior of Evolution Equations Involving Mixed Local and Nonlocal Operators Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-13T11:54:08.463769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.